I will give brainliest! Just have 5 mins!!

Answer:

4500

Step-by-step explanation:

To determine the convergence of the series, let's analyze the terms and apply the ratio test. Answer : The limit evaluates to 0, which is less than 1.

The series can be written as:

∑(n=1 to ∞) n^2 * (3/8)^n

Using the ratio test, we compute the limit:

lim(n→∞) |(n+1)^2 * (3/8)^(n+1) / (n^2 * (3/8)^n)|

Simplifying the expression inside the absolute value:

lim(n→∞) |(n+1)^2 * (3/8)^(n+1) / (n^2 * (3/8)^n)|

= lim(n→∞) |(n+1)^2 * (3/8) / (n^2 * (3/8))|

Canceling out common terms:

lim(n→∞) |(n+1)^2 / n^2|

Expanding the numerator:

lim(n→∞) |(n^2 + 2n + 1) / n^2|

Taking the limit as n approaches infinity:

lim(n→∞) |1 + 2/n + 1/n^2|

As n approaches infinity, both (2/n) and (1/n^2) tend to zero, leaving us with:

lim(n→∞) |1|

Since the limit evaluates to 1, the ratio test does not provide a definitive answer. In such cases, we need to consider other convergence tests.

Let's try using the root test instead. The root test states that if the limit of the nth root of the absolute value of the terms is less than 1, the series converges.

We compute the limit:

lim(n→∞) [(n^2 * (3/8)^n)^(1/n)]

Simplifying inside the limit:

lim(n→∞) [(n^(2/n) * ((3/8)^n)^(1/n))]

Taking the nth root of the terms:

lim(n→∞) [n^(2/n) * (3/8)^(1/n)]

Since (3/8) is a constant, we can pull it out of the limit:

(3/8) * lim(n→∞) [n^(2/n) / n]

Simplifying further:

(3/8) * lim(n→∞) [(n^(1/n))^2 / n]

Taking the limit as n approaches infinity:

(3/8) * (1^2 / ∞) = 0

The limit evaluates to 0, which is less than 1. Therefore, by the root test, the series converges.

In summary, both the ratio test and the root test confirm that the series converges.

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Answer:

x= 17/2 is the correct answer

The correct option is cone and plane. A conic section is the intersection of a plane and a cone. The best definition of a conic section is "cone and plane".

The definition of conic section is a conic section is a shape that is formed when a right circular cone intersects a plane. Depending on the angle of the plane concerning the center line of the cone, the conic sections are classified into four types. They are a circle, parabola, ellipse, and hyperbola. Each type of conic section has a unique shape and properties.

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Answer:

a = 11

Step-by-step explanation:

a + 8 = 19

=> a = 19 - 8

=> a = 11

Answer: The velocity of the ball is 108.8 ft/s downwards.

Step-by-step explanation:

When the ball is dropped, the only force acting on the ball will be the gravitational force. Then the acceleration of the ball will be the gravitational acceleration, that is something like:

g = 32 ft/s^2

To get the velocity equation we need to integrate over time, to get:

v(t) = (32ft/s^2)*t + v0

where v0 is the initial velocity of the ball. (t = 0s is when the ball is dropped)

Because it is dropped, the initial velocity is equal to zero, then we get:

v(t) = (32ft/s^2)*t

Which is the same equation that we can see in the hint.

Now we want to find the velocity 3.4 seconds after the ball is dropped, then we just replace t by 3.4s, then we get:

v(3.4s) = (32ft/s^2)*3.4s = 108.8 ft/s

The velocity of the ball is 108.8 ft/s downwards.

Answer:Hope fully this helps please mark me brainliest :)

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Answer:

it is wrong because he forgot to subtract the 5x

Step-by-step explanation:

I think this right I really hope it is though :-)

The solutions of  y > 3x - 4 are (-5,-3), (-3,4), (0,0) and (0, -4)

A relationship between two expressions or values that are not equal to each other is called 'inequality.

The given equation of the graph is y>3x-4.

We have to check each of the ordered pair is a solution or not.

(-5, -3)

Plug in the values ion inequality

-3>3(-5)-4

-3>-15-4

-3>-19

(-5, -3) is the solution of  y>3x-4.

(-3, 4)

4>-9-4

4>-13, So (-3, 4) is the solution of  y>3x-4.

(-4, 0)

0>-12-4

0>-16, So (-4, 0) is the solution of  y>3x-4.

(0, 0)

0>-4 So (0, 0) is the solution of  y>3x-4.

(1, -7)

-7>-3-4 So (1, -7) is not the solution of  y>3x-4.

(1, 1)

1>3-4

1>-1, so (1, 1) is not the solution of  y>3x-4.

(2, 2)

2>6-4

2>2, so (2, 2) is not the solution of  y>3x-4.

(4, 2)

2>12-4, so (4, 2) is not the solution of  y>3x-4.

Hence, (-5,-3), (-3,4) , (0,0) and (0, -4) are the solutions of  y > 3x - 4.

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The graph meets the vertical line test requirement, it must represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

According to the function, every value in the domain is associated to exactly one value in the range, and they have a predefined domain and range. It is characterized as a certain kind of relationship.

Please refer to the image instead of the graph, which is related to it.

The graphic displays a graph.

A parabola is seen on the graph.

The vertical line test determines if a graph can be a function, as is common knowledge.

The graph passes the vertical line test option, indicating that it does in fact represent a function (C) The vertical line test shows that the graph is correct, hence the answer is yes.

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Answer:

3.3 or 10/3 or 3  1/3

Step-by-step explanation:

hope this helps

Answer:

\(x = \frac{10}{3}\)  

I hope this helps!

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To determine Km from a double-reciprocal plot, you would choose option (A) which is to multiply the reciprocal of the x-axis intercept by -1.

In the double-reciprocal plot equation, the x-axis intercept is -1/Km, and the y-axis intercept is 1/Vmax. Therefore, if you take the reciprocal of the x-axis intercept, you get -Km, and multiplying it by -1 gives you Km.

This method is preferred because it is more accurate than estimating Km based on the position of the curve on the plot or by taking the x-axis intercept where V0 = 1/2 Vmax, which can be influenced by experimental error.

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Answer:

B. -3 1/2y + 2

Step-by-step explanation:

Our expression is: \(\frac{-1}{4} y-2\frac{1}{4} y+\frac{1}{2} (4-2y)\).

Let's first distribute out that parentheses. Remember that distribution is simply taking the sum of the product of the outside term with each of the inside terms. Here, the outside term is 1/2 and the inside terms are 4 and -2y:

\(\frac{1}{2} (4-2y)=\frac{1}{2} *4+\frac{1}{2} *(-2y)=2-y\)

Now, we have:

\(\frac{-1}{4} y-2\frac{1}{4} y+2-y\)

We want to combine like terms, which means combining all the terms with y in them:

\(\frac{-1}{4} y-2\frac{1}{4} y-y+2=\frac{-1}{4} y-\frac{9}{4} y-\frac{4}{4} y+2=\frac{-1-9-4}{4} y+2=\frac{-14}{4} y+2=\frac{-7}{2} y+2\)

Remember that -7/2 can be written as the mixed number -3 1/2, so our final answer is:

-3 1/2y + 2

The answer is thus B.

~ an aesthetics lover

Answer:

\(sin^2x\)

Step-by-step explanation:

To simplify the expression (1 - cos x)(1 + cos x), we can use the difference of squares identity, which states that \(a^2 - b^2 = (a + b)(a - b).\)

Let's apply this identity to the given expression:

\((1 - cos x)(1 + cos x) = 1^2 - (cos x)^2\)

Now, we can simplify further by using the trigonometric identity \(cos^2(x) + sin^2(x) = 1.\) By rearranging this identity, we have \(cos^2(x) = 1 - sin^2(x).\)

Substituting this into our expression, we get:

\(1^2 - (cos x)^2 = 1 - (1 - sin^2(x))\)

Simplifying further:

\(1 - (1 - sin^2(x)) = 1 - 1 + sin^2(x)\)

Finally, we get the simplified expression:

\((1 - cos x)(1 + cos x) = sin^2(x)\)

To simplify the expression \(\sf\:(1-\cos x)(1+\cos x)\\\), follow these steps:

Step 1: Apply the distributive property.

\(\longrightarrow\sf\:(1-\cos x)(1+\cos x) = 1 \cdot 1 + 1 \cdot \\\)\(\sf\: \cos x -\cos x \cdot 1 - \cos x \cdot \cos x\\\)

Step 2: Simplify the terms.

\(\longrightarrow\sf\:1 + \cos x - \cos x - \cos^2 x\\\)

Step 3: Combine like terms.

\(\longrightarrow\sf\:1 - \cos^2 x\\\)

Step 4: Apply the identity \(\sf\:\cos^2 x = 1 - \sin^2 x\\\).

\(\sf\:1 - (1 - \sin^2 x)\\\)

Step 5: Simplify further.

\(\longrightarrow\sf\:1 - 1 + \sin^2 x\\\)

Step 6: Final result.

\(\sf\red\bigstar{\boxed{\sin^2 x}}\\\)

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

Answer:

the dog weighs 52lb

The calculated equation of the parallel line  is y = -6

From the question, we have the following parameters that can be used in our computation:

The line y = 2 is a horizontal line that passes through the point y = 2

This means that the parallel line is also a horizontal line that passes through another point

The ordered pair is given as

(-1, -6)

This means that the the equation of the line is y = -6

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After considering the given data we conclude that the impulse provided by a single rocket to reduce the stopping distance of the C-130 cargo/transport plane from 430 m to 110 m is -276000 kg m/s, and the force provided by a single rocket is -87898 N.

To evaluate the impulse provided by a single rocket to reduce the stopping distance of a C-130 cargo/transport plane from 430 m to 110 m, we can apply the principle of conservation of momentum, which states that the total momentum of a system remains constant if no external forces act on it.
Considering that the friction is the sole source of deceleration over the stopping distance, we can use the equation of motion
\(v_f^2 = v_i^2 + 2ad,\)
Here,
\(v_f\) = final velocity,
\(v_i\) = initial velocity,
a = acceleration,
d = stopping distance.
For the C-130 cargo/transport plane, the initial velocity is 35 m/s, the stopping distance is 430 m, and the final velocity is 0 m/s.
Therefore, the acceleration is \(a = (v_f^2 - v_{i} ^{2} ) / 2d = (0 - 35^2) / (2 x 430) = -0.91 m/s^2.\)
To deduct the stopping distance to 110 m, 30 rockets are attached to the front of the plane and fired immediately as the wheels touch the ground. Considering that each rocket provides the same impulse, we can use the impulse-momentum theorem,
That states that the impulse provided by a force is equal to the change in momentum it produces.
Then F be the force provided by a single rocket, and let t be the time for which the force is applied. The impulse provided by the rocket is then given by
\(I = Ft\).
The change in momentum produced by the rocket is equal to the mass of the plane times the change in velocity it produces.
Considering m be the mass of the plane, and let \(v_i\) be the initial velocity of the plane before the rockets are fired. The alteration in velocity produced by the rockets is equal to the final velocity of the plane after it comes to a stop over the reduced stopping distance of 110 m.
Applying the equation of motion \(v_f^2 = v_i^2 + 2ad\), we can solve for \(v_f\) to get \(v_f\) \(= \sqrt(2ad) = \sqrt(2 * 0.4 * 9.81 * 110) = 28.1 m/s.\)
Hence, the change in velocity produced by the rockets is \(\delta(v) = v_f - v_i = 28.1 - 35 = -6.9 m/s\)

. The change in momentum produced by the rockets is then \(\delta(p) = m x \delta(v) = 40000 x (-6.9) = -276000 kg m/s.\)
To deduct the stopping distance from 430 m to 110 m, the total impulse provided by the rockets must be equal to the change in momentum produced by the friction over the remove stopping distance.
Applying the impulse-momentum theorem, we can solve for the force provided by a single rocket as follows:
\(I = Ft = -276000 kg m/s\)
\(t = 110 m / 35 m/s = 3.14 s\)
\(F = I / t = -276000 / 3.14 = -87898 N\)
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Answer:

it just 20

Step-by-step explanation:

Answer:

83 1/4 sq ft

Step-by-step explanation:

let x = length or width of two identical unknown sides

2(9) + 2x = 36 1/2

18 + 2x = 36 1/2

2x = 18 1/2

x = 37/2 ÷ 2 = 37/4 or 9 1/4

therefore, multiply 9 by 9 1/4

Area is:  9/1 x 37/4 = 333/4 = 83 1/4

Answer:

Hi! The answer to your question is \(\frac{3}{4}\)

Step-by-step explanation:

This equation is in y=mx+b or -b which is Slope Intercept form for Graphing basically y is the y intercept and b means slope, you don't have to do anything extra to find the slope when its in Slope Intercept Form all you have to do is look for usually its a fraction but it can also be a number but all you have to look for is the number that comes before b in the equation! If this has helped you please say that this has helped, if it hasn't please tell me what confuses you and i can quickly clear up that confusion! Have a nice day!

Since there wer two penalties, each of five yard, the total change in yards due to the penalties is:

there was a change of 10 yards due to the penalties

Answer:2.25 + 4.5 = 6.75 cups of flour

2.25

Step-by-step explanation: 1 batch is already 2.25 in decimal form so just infer from there.. divide 2.25 from .5 and get 4.5 then add to the one batch you've already received .. 4.5 + 2.25 = 6.75 and just convert into a fraction 6 3/4

The value of 3/4 + 1/2 is 5/4, 1/2 x 1/2 =1/4 and Midpoint of a segment with the endpoints (12,-8) and (8,-4) is (10, -6

A fraction represents a part of a whole.

We have to find the value of 3/4 + 1/2

LC of 4 and 2 is 4

(3+2)/4

3/4 + 1/2 =5/4

1/2 x 1/2 =1/4

Midpoint of a segment with the endpoints: (12,-8) and (8,-4).

Midpoint=(12+8/2, -8-4/2)

=(10, -6)

Hence, the value of 3/4 + 1/2 is 5/4, 1/2 x 1/2 =1/4 and Midpoint of a segment with the endpoints (12,-8) and (8,-4) is (10, -6)

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Answer:

\(f(1)=-6\)

\(f(n)=f(n-1)(-3)\)

Step-by-step explanation:

We are given that

\(f(n)=2\cdot (-3)^n\)

We have to complete  the recursive formula of f(n).

Substitute n=1

\(f(1)=2\cdot (-3)\)

\(f(1)=-6\)

\(f(2)=2\cdot (-3)^2=18\)

\(f(3)=2\cdot (-3)^3=-54\)

\(\frac{f(2)}{f(1)}=\frac{18}{-6}=-3\)

\(\frac{f(3)}{f(2)}=\frac{-54}{18}=-3\)

It forms geometric sequence because the ratio of two consecutive terms are equal.

Therefore, the recursive formula

\(f(n)=f(n-1)r\)

\(f(n)=f(n-1)(-3)\)

Answer:

f(1) = -6

f(n)= f(n−1)⋅ -3

Step-by-step explanation:

We can express the interval where f(x) is continuous as: (-∞, 1) ∪ (1, 4) ∪ (4, ∞). We find the values of x for which the denominator is non-zero.

To determine where the function f(x) = (\(x^2\)-1)/(\(x^2\)-5x+4) is continuous algebraically, we need to find the values of x for which the denominator is non-zero.

The function will be continuous for all x except the values that make the denominator zero. We can find these values by setting the denominator equal to zero and solving for x.

The function f(x) is defined as f(x) = (\(x^2\)-1)/(\(x^2\)-5x+4). To determine where f(x) is continuous, we need to find the values of x that make the denominator, \(x^2\)-5x+4, non-zero.

Setting the denominator equal to zero, we have:

\(x^2\)-5x+4 = 0

To find the values of x that satisfy this equation, we can factorize the quadratic equation:

(x-1)(x-4) = 0

Setting each factor equal to zero, we have:

x-1 = 0 => x = 1

x-4 = 0 => x = 4

Therefore, the function f(x) is not continuous at x = 1 and x = 4, because these values make the denominator zero. For all other values of x, the function f(x) is continuous.

In interval notation, we can express the interval where f(x) is continuous as:

(-∞, 1) ∪ (1, 4) ∪ (4, ∞)

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Answer:

80% lemme get brainlest plzzzzzzzzz

Step-by-step explanation:

it's answer is 80 percent